IDEAS home Printed from https://ideas.repec.org/p/unl/unlfep/wp419.html
   My bibliography  Save this paper

Equilibrium outcomes in repeated two-person, zero-sum games

Author

Listed:
  • Guilherme Carmona

Abstract

We will consider repeated two-person, zero-sum games in which the preferences in the repeated game depend on the stage-game references, although not necessarily in a time-consistent way. We will assume that each players repeated game payoff function at each period of time is strictly increasing on the stage game payoffs and that the repeated game is itself a zero-sum game in every period. Under these assumptions, we will show that an outcome is a subgame perfect outcome if and only if its components are all Nash equilibria of the stage game.

Suggested Citation

  • Guilherme Carmona, 2002. "Equilibrium outcomes in repeated two-person, zero-sum games," Nova SBE Working Paper Series wp419, Universidade Nova de Lisboa, Nova School of Business and Economics.
    • Handle: RePEc:unl:unlfep:wp419
    as

    Download full text from publisher

    File URL: https://run.unl.pt/bitstream/10362/83511/1/WP419.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(3), pages 165-180.
    2. Bezalel Peleg & Menahem E. Yaari, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(3), pages 391-401.
    3. Steven M. Goldman, 1980. "Consistent Plans," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(3), pages 533-537.
    4. Narayana R. Kocherlakota, 2001. "Looking for evidence of time-inconsistent preferences in asset market data," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 25(Sum), pages 13-24.
    5. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chade, Hector & Prokopovych, Pavlo & Smith, Lones, 2008. "Repeated games with present-biased preferences," Journal of Economic Theory, Elsevier, vol. 139(1), pages 157-175, March.
    2. Tyson, Christopher J., 2008. "Management of a capital stock by Strotz's naive planner," Journal of Economic Dynamics and Control, Elsevier, vol. 32(7), pages 2214-2239, July.
    3. Ivar Ekeland & Traian A. Pirvu, 2007. "Investment and Consumption without Commitment," Papers 0708.0588, arXiv.org.
    4. Zhao, Qian & Shen, Yang & Wei, Jiaqin, 2014. "Consumption–investment strategies with non-exponential discounting and logarithmic utility," European Journal of Operational Research, Elsevier, vol. 238(3), pages 824-835.
    5. Takeo Hori & Koichi Futagami, 2019. "A Non‐unitary Discount Rate Model," Economica, London School of Economics and Political Science, vol. 86(341), pages 139-165, January.
    6. Ivar Ekeland & Traian A Pirvu, 2008. "On a Non-Standard Stochastic Control Problem," Papers 0806.4026, arXiv.org.
    7. Zhao, Qian & Wang, Rongming & Wei, Jiaqin, 2016. "Exponential utility maximization for an insurer with time-inconsistent preferences," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 89-104.
    8. Ryoji Ohdoi & Koichi Futagami & Takeo Hori, 2015. "Welfare and Tax Policies in a Neoclassical Growth Model with Non-unitary Discounting," Discussion Papers in Economics and Business 15-14, Osaka University, Graduate School of Economics.
    9. Kodritsch, Sebastian, 2015. "A note on the welfare of a sophisticated time-inconsistent decision-maker," Discussion Papers, Research Unit: Market Behavior SP II 2015-201, WZB Berlin Social Science Center.
    10. Sorger, Gerhard, 2004. "Consistent planning under quasi-geometric discounting," Journal of Economic Theory, Elsevier, vol. 118(1), pages 118-129, September.
    11. Jawwad Noor, 2005. "Temptation, Welfare and Revealed Preference," Boston University - Department of Economics - Working Papers Series WP2005-15, Boston University - Department of Economics.
    12. Ryoji Ohdoi & Koichi Futagami, 2021. "Welfare implications of non-unitary time discounting," Theory and Decision, Springer, vol. 90(1), pages 85-115, February.
    13. Tommaso Gabrieli & Sayantan Ghosal, 2013. "Non-existence of competitive equilibria with dynamically inconsistent preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 299-313, January.
    14. Bart Cockx & Corinna Ghirelli & Bruno Van der Linden, 2013. "Monitoring Job Search Effort with Hyperbolic Time Preferences and Non-Compliance: A Welfare Analysis," CESifo Working Paper Series 4187, CESifo.
    15. Luttmer, Erzo G.J. & Mariotti, Thomas, 2007. "Efficiency and equilibrium when preferences are time-inconsistent," Journal of Economic Theory, Elsevier, vol. 132(1), pages 493-506, January.
    16. Ok, Efe A. & Masatlioglu, Yusufcan, 2007. "A theory of (relative) discounting," Journal of Economic Theory, Elsevier, vol. 137(1), pages 214-245, November.
    17. Haiyang Wang & Zhen Wu, 2014. "Partially Observed Time-Inconsistency Recursive Optimization Problem and Application," Journal of Optimization Theory and Applications, Springer, vol. 161(2), pages 664-687, May.
    18. Startz Richard & Tsang Kwok Ping, 2012. "Nonexponential Discounting: A Direct Test And Perhaps A New Puzzle," The B.E. Journal of Macroeconomics, De Gruyter, vol. 12(1), pages 1-35, November.
    19. Bernergård, Axel, 2011. "Folk Theorems for Present-Biased Players," SSE/EFI Working Paper Series in Economics and Finance 736, Stockholm School of Economics.
    20. Li, Yongwu & Li, Zhongfei, 2013. "Optimal time-consistent investment and reinsurance strategies for mean–variance insurers with state dependent risk aversion," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 86-97.

    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:unl:unlfep:wp419. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Susana Lopes (email available below). General contact details of provider: https://edirc.repec.org/data/feunlpt.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.